A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system

Zhang, Jie; Ni, Ming-Jiu

doi:10.1016/J.JCP.2013.08.004

Title: A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system

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Abstract

The numerical simulation of Magnetohydrodynamics (MHD) flows with complex boundaries has been a topic of great interest in the development of a fusion reactor blanket for the difficulty to accurately simulate the Hartmann layers and side layers along arbitrary geometries. An adaptive version of a consistent and conservative scheme has been developed for simulating the MHD flows. Besides, the present study forms the first attempt to apply the cut-cell approach for irregular wall-bounded MHD flows, which is more flexible and conveniently implemented under adaptive mesh refinement (AMR) technique. It employs a Volume-of-Fluid (VOF) approach to represent the fluid–conducting wall interface that makes it possible to solve the fluid–solid coupling magnetic problems, emphasizing at how electric field solver is implemented when conductivity is discontinuous in cut-cell. For the irregular cut-cells, the conservative interpolation technique is applied to calculate the Lorentz force at cell-center. On the other hand, it will be shown how consistent and conservative scheme is implemented on fine/coarse mesh boundaries when using AMR technique. Then, the applied numerical schemes are validated by five test simulations and excellent agreement was obtained for all the cases considered, simultaneously showed good consistency and conservative properties.

Authors:: Zhang, Jie; Ni, Ming-Jiu

Publication Date:: Wed Jan 01 00:00:00 EST 2014

OSTI Identifier:: 22230838

Resource Type:: Journal Article

Journal Name:: Journal of Computational Physics

Additional Journal Information:: Journal Volume: 256; Other Information: Copyright (c) 2013 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0021-9991

Country of Publication:: United States

Language:: English

Subject:: 70 PLASMA PHYSICS AND FUSION TECHNOLOGY; 42 ENGINEERING; ADAPTIVE SYSTEMS; COMPUTERIZED SIMULATION; ELECTRIC FIELDS; FLUIDS; GEOMETRY; INTERFACES; INTERPOLATION; LAYERS; LORENTZ FORCE; MAGNETOHYDRODYNAMICS; THERMONUCLEAR REACTORS; WALLS

Citation Formats


                    Zhang, Jie, and Ni, Ming-Jiu. A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system.  United States: N. p., 2014. 
        Web.  doi:10.1016/J.JCP.2013.08.004.

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                    Zhang, Jie, & Ni, Ming-Jiu. A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system.  United States.  https://doi.org/10.1016/J.JCP.2013.08.004

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                    Zhang, Jie, and Ni, Ming-Jiu. 2014.  
        "A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system".  United States.  https://doi.org/10.1016/J.JCP.2013.08.004.

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@article{osti_22230838,

  title        = {A consistent and conservative scheme for MHD flows with complex boundaries on an unstructured Cartesian adaptive system},

  author       = {Zhang, Jie and Ni, Ming-Jiu},

  abstractNote = {The numerical simulation of Magnetohydrodynamics (MHD) flows with complex boundaries has been a topic of great interest in the development of a fusion reactor blanket for the difficulty to accurately simulate the Hartmann layers and side layers along arbitrary geometries. An adaptive version of a consistent and conservative scheme has been developed for simulating the MHD flows. Besides, the present study forms the first attempt to apply the cut-cell approach for irregular wall-bounded MHD flows, which is more flexible and conveniently implemented under adaptive mesh refinement (AMR) technique. It employs a Volume-of-Fluid (VOF) approach to represent the fluid–conducting wall interface that makes it possible to solve the fluid–solid coupling magnetic problems, emphasizing at how electric field solver is implemented when conductivity is discontinuous in cut-cell. For the irregular cut-cells, the conservative interpolation technique is applied to calculate the Lorentz force at cell-center. On the other hand, it will be shown how consistent and conservative scheme is implemented on fine/coarse mesh boundaries when using AMR technique. Then, the applied numerical schemes are validated by five test simulations and excellent agreement was obtained for all the cases considered, simultaneously showed good consistency and conservative properties.},

  doi          = {10.1016/J.JCP.2013.08.004},

  url          = {https://www.osti.gov/biblio/22230838},
  journal      = {Journal of Computational Physics},

  issn         = {0021-9991},

  number       = ,

  volume       = 256,

  place        = {United States},

  year         = {Wed Jan 01 00:00:00 EST 2014},

  month        = {Wed Jan 01 00:00:00 EST 2014}

}

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